This work is focused on the study of desalination of salt solutions (as simulation of sea water fluid), through a system of progressive cryoconcentration by indirect contact. The effect of three factors (solid concentration in the initial fluid, agitator speed and coolant temperature) were investigated by conducting laboratory experiments. To evaluate the cryoconcentration process the following parameters were analyzed: average distribution coefficient (K &#773;), cryoconcentration efficiency (EFF) and energy consumption of the process (QE): During the assays, three concentrations of solids in the initial fluid were tested: 0.025%, 1.76%, 3.5% w/w, with three different coolant temperatures -6, -10, -14 ° C and three different speeds for the stirrer: 500, 1000, 1500 rpm. 17 experiments must be carried out to solve the matrix and the error evaluation. The test were randomized, for the statistical analysis was used the response surface methodology. The lower concentration of solids in ice obtained was 0.002% w / w, working at a temperature of -14 °C, 1489.89 rpm rotation speed and starting from a solid concentration in the initial fluid of 0.025% w/w. The results show that all the studied factors affect the final result of the progressive cryoconcentration (solids concentration on ice), being the most relevant the concentration of solids in the initial fluid. It was also observed that the coolant temperature does not significantly influence the average distribution coefficient (K &#773;) or the cryoconcentration efficiency (EFF) so it can be used any value within the assigned range (-6, -10, - 14 ° C) is accepted. Cryoconcentration efficiency had a higher value based on the solids concentration in the initial fluid (0.025%). According to the averaged values of experimental power consumption, the treatments of salt solutions with concentrations of 0.025, 1.76, and 3.5% w/w consumed about 0.43 kWh/kg ice. Considering that the concentration 3.5% w / w is the same as sea water, based on the regression equation for concentration in solid ice (Csh), and taking the parameters V (rpm) and T (C) at its optimum value, there could be a scheme cryoconcentration in two stages, so that ultimately obtain ice whose conductivity, or whose salt concentration are below the limits set by Directive 98/83 / EC 2.5 ms/cm or 0.025% w/w to be considered safe water for human consumption.